Answer
$V=288 \text{ cubic inches}$
$\text{surface area} = 280 \text{ square inches}$
Work Step by Step
RECALL:
(1) The surface area of a rectangular box is given by the formula:
$\text{surface area} = 2lh + 2wh + 2lw$
where l = length, w = width, and h = height
(2) The volume $V$ of a rectangular box is given by the formula:
$V = lwh$
where l = length, w = width, and h = height
The given rectangular box has:
length = 9 inches
width = 4 inches
height = 8 inches
Use the formulas and the given measurements above to obtain:
$V=lwh
\\V=9(4)(8)
\\V=288 \text{ cubic inches}$
$\text{surface area} = 2lh + 2wh + 2lw
\\\text{surface area} = 2(9)(8) + 2(4)(8) + 2(9)(4)
\\\text{surface area} = 144+64+72
\\\text{surface area} = 280 \text{ square inches}$
